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Finding the Fourth Proportional to 1,205.52, 1,663.60 and 653.52

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Solution

The fourth proportional to 1,205.52, 1,663.60 and 653.52 is: 901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.52 : 1,663.60 = 653.52 : x
  2. Step 2: Convert to fraction form
    1,205.52/1,663.60 = 653.52/x
  3. Step 3: Cross multiply
    1,205.52x = 1,663.60 × 653.52
  4. Step 4: Simplify right side
    1,205.52x = 1,087,195.87
  5. Step 5: Solve for x
    x = 1,087,195.87/1,205.52
  6. Step 6: Final answer
    x = 901.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.